The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics

DOI10.3934/dcdss.2010.3.409zbMath1210.76039OpenAlexW2007529019MaRDI QIDQ2430099

Alexis F. Vasseur, Luis A. Caffarelli

Publication date: 5 April 2011

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2010.3.409

zbMATH Keywords

regularityNavier-Stokes equationquasi-geostrophic equationDe Giorgi's methodfluid mechanic

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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